273,637

7 × 13 × 31 × 97

273,637 has digital root 1. The neighboring primes are 273629 and 273641; its proper-divisor sum differs from the starting integer by -196,042.

Prime Factor Structure

Factorization String 7 × 13 × 31 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 351,232

Proper Divisor Sum 77,595

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #273629 ← → #273641

Radix Representation

Decimal	273637
Binary	1000010110011100101 (19 bits)
Octal	0o1026345
Hexadecimal	0x42CE5

Divisor Catalog (16)

1 7 13 31 91 97 217 403 679 1,261 2,821 3,007 8,827 21,049 39,091 273,637

Collatz Trajectory (176 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

273,637 820,912 410,456 205,228 102,614 51,307 153,922 76,961 230,884 115,442 57,721 173,164 86,582 43,291 129,874 64,937 194,812 97,406 48,703 146,110 73,055 219,166 109,583 328,750 164,375 493,126 246,563 739,690 369,845 1,109,536 554,768 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290

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